A finite difference solution of the regularized long-wave equation
MATHEMATICAL PROBLEMS IN ENGINEERING, cilt.2006, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2006
- Basım Tarihi: 2006
- Doi Numarası: 10.1155/mpe/2006/85743
- Dergi Adı: MATHEMATICAL PROBLEMS IN ENGINEERING
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- İnönü Üniversitesi Adresli: Evet
Özet
A linearized implicit finite difference method to obtain numerical solution of the one-dimensional regularized long-wave (RLW) equation is presented. The performance and the accuracy of the method are illustrated by solving three test examples of the problem: a single solitary wave, two positive solitary waves interaction, and an undular bore. The obtained results are presented and compared with earlier work.